I must say that this whole challenge has been very educational. After looking at the saves and the approaches that the various players took, I've learned a number of things about the economics of science. Gmaharriet and I have been discussing the different approaches and we finally decided to put our heads together and see just how many beakers we could squeeze out of Bede's Challenge #1, knowing what we now know.
I am submitting this save and screenshot for comparison's sake. I'd like to emphasize that it's not being submitted for bragging, nor is it intended to compete against the other saves. It's the result of a great deal of fiddling, experimenting, discussion and some reloading, and it's the work of two players, not one, so it's not fit for competition in this challenge.
In my first run at the the challenge, I only rushed maybe 3-5 builds in the process. That was a mistake on my part and I think Phaedo rushed many more builds than I did. So when gmaharriet and I redid this, we rushed more builds, reduced corruption further, and were able to substantially increase science. We were able to draw 1337 beakers off of the economy, and 129 specialists for a total beaker count of 1724.
Some new stuff that I learned:
1) Courthouses and Police Stations usually have the same effect on science.
2) The SGA doesn't have any impact on the science calculated on the F1 screen. (I reloaded several times testing this. It never had any effect.) That means that the 1450 that Phaedo generated from his economy was purely the result of his MMing and none of it was the result of the SGA. Nor does it affect the number of specialists (obviously), so it didn't affect Phaedo's score.
3) In a well developed core, even at 0% science, our cities were generating science. In one city, I noticed that the city square was generating 5 gold and the city was making 26 beakers. And that was with all clowns.
At any rate, thanks again to Bede for setting this up and scoring.